GCD of 825, 475, 793, 210 Calculator

Given Input numbers are 825, 475, 793, 210

To find the GCD of numbers using factoring list out all the divisors of each number

Divisors of 825

List of positive integer divisors of 825 that divides 825 without a remainder.

1, 3, 5, 11, 15, 25, 33, 55, 75, 165, 275, 825

Divisors of 475

List of positive integer divisors of 475 that divides 475 without a remainder.

1, 5, 19, 25, 95, 475

Divisors of 793

List of positive integer divisors of 793 that divides 793 without a remainder.

1, 13, 61, 793

Divisors of 210

List of positive integer divisors of 210 that divides 210 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 210

Greatest Common Divisior

We found the divisors of 825, 475, 793, 210 . The biggest common divisior number is the GCD number.
So the Greatest Common Divisior 825, 475, 793, 210 is 1.

Therefore, GCD of numbers 825, 475, 793, 210 is 1

Given Input Data is 825, 475, 793, 210

Make a list of Prime Factors of all the given numbers initially

Prime Factorization of 825 is 3 x 5 x 5 x 11

Prime Factorization of 475 is 5 x 5 x 19

Prime Factorization of 793 is 13 x 61

Prime Factorization of 210 is 2 x 3 x 5 x 7

The above numbers do not have any common prime factor. So GCD is 1

Step1:

Let's calculate the GCD of first two numbers

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(825, 475) = 15675

GCD(825, 475) = ( 825 x 475 ) / 15675

GCD(825, 475) = 391875 / 15675

GCD(825, 475) = 25

Step2:

Here we consider the GCD from the above i.e. 25 as first number and the next as 793

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(25, 793) = 19825

GCD(25, 793) = ( 25 x 793 ) / 19825

GCD(25, 793) = 19825 / 19825

GCD(25, 793) = 1

Step3:

Here we consider the GCD from the above i.e. 1 as first number and the next as 210

The formula of GCD is GCD(a, b) = ( a x b) / LCM(a, b)

LCM(1, 210) = 210

GCD(1, 210) = ( 1 x 210 ) / 210

GCD(1, 210) = 210 / 210

GCD(1, 210) = 1

GCD of 825, 475, 793, 210 is 1

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1. What is the GCD of 825, 475, 793, 210?

GCD of 825, 475, 793, 210 is 1

2. Where do I get the detailed procedure to find GCD of 825, 475, 793, 210?

You can find a detailed procedure to find GCD of 825, 475, 793, 210 on our page.

3. How to find GCD of 825, 475, 793, 210 on a calculator?

You can find the GCD of 825, 475, 793, 210 by simply giving the inputs separated by commas and click on the calculate button to avail the Greatest Common Divisor in less time.